Slice sausage into rounds and brown in a large skillet over medium-high heat until cooked through, then remove and set aside.
Dice onion and garlic, sauté in the sausage fat for 2 minutes, then chop kale and stir in.
Add beans with their liquid and broth, return sausage to pan, and simmer 12 minutes until kale softens.
Season with salt and pepper, then serve in bowls.